Tommy had 140 more beads than Ben. Tommy gave 25% of his beads to Ben. Ben in return gave 80% of his beads to Tommy. In the end, Tommy had 342 more beads than Ben. How many beads did Tommy have at first?
| |
Tommy |
Ben |
Comparing Tommy
and Peter at first |
140 more |
|
| Before |
4 u + 140 |
4 u |
| Change 1 |
- 1 u - 35 |
+ 1 u + 35 |
| After 1 |
3 u + 105 |
5 u + 35 |
| Change 2 |
+ 4 u + 28 |
- 4 u - 28 |
| After 2 |
7 u + 133 |
1 u + 7 |
25% =
25100 =
1425% x 140
=
25100 x 140
= 35
80% x 35
=
80100 x 35
= 28
80% x 5 u
=
80100 x 5 u
= 4 u
Tommy had 342 more beads than Ben in the end. If another 342 beads are given to Ben, both will have the same number of beads.
7 u + 133 = 1 u + 7 + 342
7 u - 1 u = 7 + 342 - 133
6 u = 216
1 u = 216 ÷ 6 = 36
Number of Tommy's beads at first
= 4 u + 140
= 4 x 36 + 140
= 144 + 140
= 284
Answer: 284
